The phrase "a linearized approximation of" is correct and usable in written English.
It can be used in mathematical, scientific, or engineering contexts when discussing a simplified version of a more complex function or model.
Example: "In our analysis, we will use a linearized approximation of the system's behavior to make calculations more manageable."
Alternatives: "a simplified model of" or "a linear approximation of".
To facilitate the observer design, the system dynamics is modeled by considering a linearized approximation of the underlying nonlinear dynamics around the subcritical uniform flow condition.
In addition, a linearized approximation of the natural frequency, similar to the one given for Euler-Bernoulli beams, is also proposed for a Timoshenko shaft.
Alessie et al. (2004) extends the model proposed by Heckman (1981), initially for a univariate discrete choice model to a bivariate framework, introducing two static equations for t=1, which can be seen as a linearized approximation of the reduced form for the latent variable.
The double linearization theory deals with both steady and unsteady components of disturbances on the basis of a linearized approximation on the assumption that the cascade is lightly loaded and vibrating with an infinitesimal displacement amplitude.
With a linearized approximation, a refined kinematic model is obtained in which sliding effects appear as additive unknown parameters to the ideal kinematic model.
These models arise from a linearized approximation around the stable state, and are useful to describe the subthreshold response to weak inputs.
The Levenberg-Marquardt method is thus an example of a model trust region approach in which the model (in this case the linearized approximation of the error function) is trusted only within some region around the current search point [35].
However, useful insights into this problem are deduced from linearized approximations of the continuation equations.
Also a static linearized approximation is derived, which describes the static relation between the supply voltages and the tip trajectories of the legs.
Chromophore concentrations and diffusion amplitude are recovered using a linearized Born approximation model and employing data from over 100 wavelengths.
An efficient method is detailed for forming the images using iterative algorithms applied to a linearized Born approximation model assuming the scattering coefficient is spatially constant and known.
